Unperturbed weakly reducible non-minimal bridge positions

Jung Hoon Lee

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arXiv · 2201.10153

Unperturbed weakly reducible non-minimal bridge positions

Jung Hoon Lee

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Abstract

A bridge position of a knot is said to be perturbed if there exists a cancelling pair of bridge disks. Motivated by the examples of knots admitting unperturbed strongly irreducible non-minimal bridge positions due to Jang-Kobayashi-Ozawa-Takao, we derive examples of unperturbed weakly reducible non-minimal bridge positions. Also, a bridge version of Gordon's Conjecture is proposed: the connected sum of unperturbed bridge positions is unperturbed.

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Jung Hoon Lee. 2022-01-25. Unperturbed weakly reducible non-minimal bridge positions. https://arxiv.org/abs/2201.10153

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